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131341304220 = 22357244673913
BaseRepresentation
bin111101001010010001…
…1010100000110011100
3110120000101211120002220
41322110203110012130
54122441333213340
6140200511545340
712326521444200
oct1722443240634
9416011746086
10131341304220
1150779818915
1221555b2b250
13c501a41b79
1464dd69cb00
15363a9b1ed0
hex1e948d419c

131341304220 has 72 divisors (see below), whose sum is σ = 427797400464. Its totient is φ = 30020868864.

The previous prime is 131341304219. The next prime is 131341304221. The reversal of 131341304220 is 22403143131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131341304219) and next prime (131341304221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131341304221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22334017 + ... + 22339896.

It is an arithmetic number, because the mean of its divisors is an integer number (5941630562).

Almost surely, 2131341304220 is an apocalyptic number.

131341304220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131341304220 is an abundant number, since it is smaller than the sum of its proper divisors (296456096244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131341304220 is a wasteful number, since it uses less digits than its factorization.

131341304220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44673939 (or 44673930 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131341304220 its reverse (22403143131), we get a palindrome (153744447351).

The spelling of 131341304220 in words is "one hundred thirty-one billion, three hundred forty-one million, three hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 44673913 89347826 134021739 178695652 223369565 268043478 312717391 446739130 536086956 625434782 670108695 893478260 938152173 1250869564 1340217390 1563586955 1876304346 2189021737 2680434780 3127173910 3752608692 4378043474 4690760865 6254347820 6567065211 8756086948 9381521730 10945108685 13134130422 18763043460 21890217370 26268260844 32835326055 43780434740 65670652110 131341304220